So my Math 2 class has recently started going over Simplifying Nth Root Radicals and stuff like that and I genuinely can't understand this problem. Is there any chance someone could help me out?
This is the problem

Given x > 0, simplify V81x¹ⁿ completely.​
Imagine the V above as a square root symbol and the 1n as x to the 10th power

option: d is correct

step-by-step explanation:

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.